Daily Practice · Higher
May 1974 5-a-day
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The batch download puts all 5 tiers' May 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1974Expand and simplify (x + 5)(x + 1)(x - 1).
- 2nd May 1974A town's population is 21000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd May 1974A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 4th May 197420 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th May 1974A box plot has a minimum of 9 and a maximum of 24. Work out the range.
- 6th May 1974A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 7th May 1974Make x the subject of y = 9x^2 - 9.
- 8th May 1974A block has volume 90 cm^3 and density 4 g/cm^3. Work out its mass.
- 9th May 1974In triangle ABC, angle A is 40°, angle B is 76° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th May 19744 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th May 1974A box plot has minimum 11, lower quartile 19, median 21, upper quartile 24 and maximum 32. Work out the interquartile range.
- 12th May 1974A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th May 1974Factorise x^2 - 100.
- 14th May 1974x : y = 2 : 3. Write y in terms of x.
- 15th May 1974A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 16th May 197418 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th May 1974A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 18th May 1974Work out (63 x 10^6) / (7 x 10^4). Give your answer in standard form.
- 19th May 1974A region is defined by y <= 4x - 6. Should the boundary line be solid or dashed, and why?
- 20th May 1974A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st May 1974The point (-5, -4) is enlarged by scale factor -3 about the centre (3, 0). Write down the coordinates of the image.
- 22nd May 19743 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd May 1974A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 24th May 1974Write the recurring decimal 0.333... as a fraction in its simplest form.
- 25th May 1974Factorise x^2 - 4x - 32.
- 26th May 1974y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 6.
- 27th May 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 621 cm^3. Work out the volume of the smaller.
- 28th May 197417 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th May 1974Four classes in order have frequencies 11, 4, 12, 8. Write down the cumulative frequency at the end of the third class.
- 30th May 1974Work out 27^(2/3).
- 31st May 1974Work out the equation of the line parallel to y = -3x - 5 that passes through (3, -5).